Finding the Fourth Proportional to 10,193,703,679,182, 14,067,316,720,479 and 5,506,102,420,264
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Solution
The fourth proportional to 10,193,703,679,182, 14,067,316,720,479 and 5,506,102,420,264 is: 7,598,424,388,128.30
Step by Step Solution
- Step 1: Write the proportion equation
10,193,703,679,182 : 14,067,316,720,479 = 5,506,102,420,264 : x - Step 2: Convert to fraction form
10,193,703,679,182/14,067,316,720,479 = 5,506,102,420,264/x - Step 3: Cross multiply
10,193,703,679,182x = 14,067,316,720,479 × 5,506,102,420,264 - Step 4: Simplify right side
10,193,703,679,182x = 77,456,086,641,249,663,049,531,392 - Step 5: Solve for x
x = 77,456,086,641,249,663,049,531,392/10,193,703,679,182 - Step 6: Final answer
x = 7,598,424,388,128.30
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.